Atkin-Lehner |
2+ 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350bn |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-21712896000000000 = -1 · 221 · 32 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -6 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2773826,1777926548] |
[a1,a2,a3,a4,a6] |
j |
-1208456694510502949/11117002752 |
j-invariant |
L |
1.3780932480226 |
L(r)(E,1)/r! |
Ω |
0.34452329488581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350ch1 |
Quadratic twists by: 5 |